Have you run the calculators at HYPSM to ascertain that your family does not quality for any FA? The upper “limit” in parental income to qualify for FA parental income with one student at P is around $180,000? Families with multiple students are (have) qualified for FA with income of around $250,000. I think that you are a competitive candidate at any college, and among those on your list, especially, CMU and WashU. Your score and GPA stats are great, and if you can make yourself outstanding with your essays, I’d say a higher than the published admit chance at P. Your “Lots of experience teaching math camps”, might be useful to demonstrate (prove) your commitment to serve others.